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Atlas › Integer Profiles › Node 84,607,072

84,607,072

25 × 112 × 21851
Abundant Even Composite

84,607,072 factors as 2^5 × 11^2 × 21851. Its 36 positive divisors give a proper-divisor sum of 98,490,836, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^5 × 11^2 × 21851
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 183,097,908
Proper Divisor Sum 98,490,836
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #84607069 ← → #84607109

Radix Representation

Decimal 84607072
Binary 101000010110000000001100000 (27 bits)
Octal 0o502600140
Hexadecimal 0x50B0060

Divisor Catalog (36)

1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1,936 3,872 21,851 43,702 87,404 174,808 240,361 349,616 480,722 699,232 961,444 1,922,888 2,643,971 3,845,776 5,287,942 7,691,552 10,575,884 21,151,768 42,303,536 84,607,072

Collatz Trajectory (130 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

84,607,072 42,303,536 21,151,768 10,575,884 5,287,942 2,643,971 7,931,914 3,965,957 11,897,872 5,948,936 2,974,468 1,487,234 743,617 2,230,852 1,115,426 557,713 1,673,140 836,570 418,285 1,254,856 627,428 313,714 156,857 470,572 235,286 117,643 352,930 176,465 529,396 264,698 132,349 397,048 198,524 99,262 49,631 148,894 74,447 223,342 111,671 335,014 167,507 502,522 251,261 753,784 376,892 188,446 94,223 282,670 141,335 424,006 212,003 636,010 318,005 954,016 477,008 238,504 119,252 59,626 29,813 89,440

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